Question

Quadrilateral RUST has a vertex at R(2, 4).

Answer 1

Given:

The coordinate of point R in quadrilateral RUST are (2,4).

R is dilated by a scale factor of 3, centered at the origin, followed by the translation $(x, y)\to (x+4,y)$.

To find:

The coordinates of R' after dilation and translation.

Solution:

If a figure is dilated by a scale factor of 3, centered at the origin, then

$(x,y)\to (3x,3y)$

We value R(2,4).

$R(2,4)\to R_1(3(2),3(4))$

$R(2,4)\to R_1(6,12)$

The rule of translation is:

$(x, y)\to (x+4,y)$

Using this rule, we get

$R_1(6,12)\to R'(6+4,12)$

$R_1(6,12)\to R'(10,12)$

Therefore, the coordinates of point R' are (10,12) and the correct option is B.